Approximate Robustness Of Equilibrium To Incomplete Information
AbstractWe relax the Kajii and Morris (1997a) notion of equilibrium ro- bustness by allowing approximate equilibria in close incomplete infor- mation games. The new notion is termed "approximate robustness". The approximately robust equilibrium correspondence turns out to be upper hemicontinuous, unlike the (exactly) robust equilibrium corre- spondence. As a corollary of the upper hemicontinuity, it is shown that approximately robust equilibria exist in all two-player zero-sum games and all two-player two-strategy games, whereas (exactly) robust equilibria may fail to exist for some games in these categories.
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Bibliographic InfoPaper provided by Ben-Gurion University of the Negev, Department of Economics in its series Working Papers with number 1209.
Length: 19 pages
Date of creation: 2012
Date of revision:
incomplete information; robustness; Bayesian Nash equi- librium; ?-equilibrium; upper hemicontinuity; zero-sum games.;
Find related papers by JEL classification:
- C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
This paper has been announced in the following NEP Reports:
- NEP-ALL-2012-10-20 (All new papers)
- NEP-CTA-2012-10-20 (Contract Theory & Applications)
- NEP-GTH-2012-10-20 (Game Theory)
- NEP-HPE-2012-10-20 (History & Philosophy of Economics)
- NEP-MIC-2012-10-20 (Microeconomics)
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- Ui, Takashi, 2001. "Robust Equilibria of Potential Games," Econometrica, Econometric Society, vol. 69(5), pages 1373-80, September.
- Atsushi Kajii & Stephen Morris, .
""The Robustness of Equilibria to Incomplete Information*'',"
CARESS Working Papres
95-18, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
- Atsushi Kajii & Stephen Morris, 1997. "The Robustness of Equilibria to Incomplete Information," Econometrica, Econometric Society, vol. 65(6), pages 1283-1310, November.
- Atsushi Kajii & Stephen Morris, . "The Robustness of Equilibria to Incomplete Information," Penn CARESS Working Papers ed504c985fc375cbe719b3f60, Penn Economics Department.
- Stephen Morris & Takashi Ui, 2003.
"Generalized Potentials and Robust Sets of Equilibria,"
Cowles Foundation Discussion Papers
1394, Cowles Foundation for Research in Economics, Yale University.
- Morris, Stephen & Ui, Takashi, 2005. "Generalized potentials and robust sets of equilibria," Journal of Economic Theory, Elsevier, vol. 124(1), pages 45-78, September.
- Stephen Morris & Takashi Ui, 2003. "Generalized Potentials and Robust Sets of Equilibria," Levine's Working Paper Archive 506439000000000325, David K. Levine.
- Jonathan Weinstein & Muhamet Yildiz, 2007. "A Structure Theorem for Rationalizability with Application to Robust Predictions of Refinements," Econometrica, Econometric Society, vol. 75(2), pages 365-400, 03.
- Oyama, Daisuke & Takahashi, Satoru, 2011. "On the relationship between robustness to incomplete information and noise-independent selection in global games," Journal of Mathematical Economics, Elsevier, vol. 47(6), pages 683-688.
- Monderer, Dov & Samet, Dov, 1989. "Approximating common knowledge with common beliefs," Games and Economic Behavior, Elsevier, vol. 1(2), pages 170-190, June.
- NORA, Vladyslav & UNO, Hiroshi, 2012.
"Saddle functions and robust sets of equilibria,"
CORE Discussion Papers
2012050, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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